Information on Result #790636
Digital (68, 112, 56)-net over F2, using trace code for nets based on digital (12, 56, 28)-net over F4, using
- net from sequence [i] based on digital (12, 27)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 12 and N(F) ≥ 28, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (68, 111, 56)-net over F2 | [i] | m-Reduction | |
| 2 | Linear OOA(2112, 56, F2, 3, 44) (dual of [(56, 3), 56, 45]-NRT-code) | [i] | Extracting Embedded OOA | |
| 3 | Linear OOA(2112, 56, F2, 4, 44) (dual of [(56, 4), 112, 45]-NRT-code) | [i] | ||
| 4 | Linear OOA(2112, 56, F2, 5, 44) (dual of [(56, 5), 168, 45]-NRT-code) | [i] | ||
| 5 | Linear OOA(2112, 56, F2, 6, 44) (dual of [(56, 6), 224, 45]-NRT-code) | [i] | ||
| 6 | Linear OOA(2112, 56, F2, 7, 44) (dual of [(56, 7), 280, 45]-NRT-code) | [i] | ||
| 7 | Linear OOA(2112, 56, F2, 8, 44) (dual of [(56, 8), 336, 45]-NRT-code) | [i] | ||